Pandas Profiling Report

Dataset statistics

Number of variables	18
Number of observations	4250
Missing cells	0
Missing cells (%)	0.0%
Duplicate rows	0
Duplicate rows (%)	0.0%
Total size in memory	597.8 KiB
Average record size in memory	144.0 B

Variable types

Numeric	15
Categorical	3

Alerts

`number_vmail_messages` is highly overall correlated with `voice_mail_plan`	High correlation
`total_day_charge` is highly overall correlated with `total_day_minutes`	High correlation
`total_day_minutes` is highly overall correlated with `total_day_charge`	High correlation
`total_eve_charge` is highly overall correlated with `total_eve_minutes`	High correlation
`total_eve_minutes` is highly overall correlated with `total_eve_charge`	High correlation
`total_intl_charge` is highly overall correlated with `total_intl_minutes`	High correlation
`total_intl_minutes` is highly overall correlated with `total_intl_charge`	High correlation
`total_night_charge` is highly overall correlated with `total_night_minutes`	High correlation
`total_night_minutes` is highly overall correlated with `total_night_charge`	High correlation
`voice_mail_plan` is highly overall correlated with `number_vmail_messages`	High correlation
`international_plan` is highly imbalanced (55.3%)	Imbalance
`number_vmail_messages` has 3139 (73.9%) zeros	Zeros
`number_customer_service_calls` has 886 (20.8%) zeros	Zeros

Reproduction

Analysis started	2024-04-30 07:19:00.407744
Analysis finished	2024-04-30 07:19:55.202016
Duration	54.79 seconds
Software version	ydata-profiling vv4.7.0
Download configuration	config.json

account_length
Real number (ℝ)

Distinct	215
Distinct (%)	5.1%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	100.23624

Minimum	1
Maximum	243
Zeros	0
Zeros (%)	0.0%
Negative	0
Negative (%)	0.0%
Memory size	33.3 KiB

Quantile statistics

Minimum	1
5-th percentile	35.45
Q1	73
median	100
Q3	127
95-th percentile	167
Maximum	243
Range	242
Interquartile range (IQR)	54

Descriptive statistics

Standard deviation	39.698401
Coefficient of variation (CV)	0.3960484
Kurtosis	-0.13217477
Mean	100.23624
Median Absolute Deviation (MAD)	27
Skewness	0.12232732
Sum	426004
Variance	1575.963
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
90	53	1.2%
87	51	1.2%
93	50	1.2%
105	48	1.1%
100	48	1.1%
120	48	1.1%
116	47	1.1%
98	47	1.1%
127	47	1.1%
112	46	1.1%
Other values (205)	3765	88.6%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
1	7	0.2%
2	2	< 0.1%
3	7	0.2%
4	2	< 0.1%
5	2	< 0.1%
6	2	< 0.1%
7	5	0.1%
8	1	< 0.1%
9	2	< 0.1%
10	3	0.1%

Value	Count	Frequency (%)
243	1	< 0.1%
232	2	< 0.1%
225	2	< 0.1%
224	2	< 0.1%
222	2	< 0.1%
221	1	< 0.1%
217	3	0.1%
216	1	< 0.1%
215	1	< 0.1%
212	1	< 0.1%

international_plan
Categorical

IMBALANCE

Distinct	2
Distinct (%)	< 0.1%
Missing	0
Missing (%)	0.0%
Memory size	33.3 KiB

0	3854
1	396

Length

Max length	1
Median length	1
Mean length	1
Min length	1

Characters and Unicode

Total characters	4250
Distinct characters	2
Distinct categories	1 ?
Distinct scripts	1 ?
Distinct blocks	1 ?

The Unicode Standard assigns character properties to each code point, which can be used to analyse textual variables.

Unique

Unique	0 ?
Unique (%)	0.0%

Sample

1st row	0
2nd row	0
3rd row	1
4th row	1
5th row	0

Common Values

Value	Count	Frequency (%)
0	3854	90.7%
1	396	9.3%

Length

Histogram of lengths of the category

Common Values (Plot)

Value	Count	Frequency (%)
0	3854	90.7%
1	396	9.3%

Most occurring characters

Value	Count	Frequency (%)
0	3854	90.7%
1	396	9.3%

Most occurring categories

Value	Count	Frequency (%)
(unknown)	4250	100.0%

Most frequent character per category

(unknown)

Value	Count	Frequency (%)
0	3854	90.7%
1	396	9.3%

Most occurring scripts

Value	Count	Frequency (%)
(unknown)	4250	100.0%

Most frequent character per script

(unknown)

Value	Count	Frequency (%)
0	3854	90.7%
1	396	9.3%

Most occurring blocks

Value	Count	Frequency (%)
(unknown)	4250	100.0%

Most frequent character per block

(unknown)

Value	Count	Frequency (%)
0	3854	90.7%
1	396	9.3%

voice_mail_plan
Categorical

HIGH CORRELATION

Distinct	2
Distinct (%)	< 0.1%
Missing	0
Missing (%)	0.0%
Memory size	33.3 KiB

0	3138
1	1112

Length

Max length	1
Median length	1
Mean length	1
Min length	1

Characters and Unicode

Total characters	4250
Distinct characters	2
Distinct categories	1 ?
Distinct scripts	1 ?
Distinct blocks	1 ?

The Unicode Standard assigns character properties to each code point, which can be used to analyse textual variables.

Unique

Unique	0 ?
Unique (%)	0.0%

Sample

1st row	1
2nd row	0
3rd row	0
4th row	0
5th row	1

Common Values

Value	Count	Frequency (%)
0	3138	73.8%
1	1112	26.2%

Length

Histogram of lengths of the category

Common Values (Plot)

Value	Count	Frequency (%)
0	3138	73.8%
1	1112	26.2%

Most occurring characters

Value	Count	Frequency (%)
0	3138	73.8%
1	1112	26.2%

Most occurring categories

Value	Count	Frequency (%)
(unknown)	4250	100.0%

Most frequent character per category

(unknown)

Value	Count	Frequency (%)
0	3138	73.8%
1	1112	26.2%

Most occurring scripts

Value	Count	Frequency (%)
(unknown)	4250	100.0%

Most frequent character per script

(unknown)

Value	Count	Frequency (%)
0	3138	73.8%
1	1112	26.2%

Most occurring blocks

Value	Count	Frequency (%)
(unknown)	4250	100.0%

Most frequent character per block

(unknown)

Value	Count	Frequency (%)
0	3138	73.8%
1	1112	26.2%

number_vmail_messages
Real number (ℝ)

HIGH CORRELATION ZEROS

Distinct	46
Distinct (%)	1.1%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	7.6317647

Minimum	0
Maximum	52
Zeros	3139
Zeros (%)	73.9%
Negative	0
Negative (%)	0.0%
Memory size	33.3 KiB

Quantile statistics

Minimum	0
5-th percentile	0
Q1	0
median	0
Q3	16
95-th percentile	36
Maximum	52
Range	52
Interquartile range (IQR)	16

Descriptive statistics

Standard deviation	13.439882
Coefficient of variation (CV)	1.7610451
Kurtosis	0.27303834
Mean	7.6317647
Median Absolute Deviation (MAD)	0
Skewness	1.373091
Sum	32435
Variance	180.63043
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=46)

Value	Count	Frequency (%)
0	3139	73.9%
31	69	1.6%
28	58	1.4%
24	57	1.3%
29	57	1.3%
33	55	1.3%
27	54	1.3%
26	53	1.2%
30	47	1.1%
32	47	1.1%
Other values (36)	614	14.4%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
0	3139	73.9%
4	1	< 0.1%
6	2	< 0.1%
8	2	< 0.1%
10	4	0.1%
11	2	< 0.1%
12	10	0.2%
13	3	0.1%
14	7	0.2%
15	12	0.3%

Value	Count	Frequency (%)
52	1	< 0.1%
50	2	< 0.1%
49	3	0.1%
48	4	0.1%
47	4	0.1%
46	7	0.2%
45	10	0.2%
44	7	0.2%
43	13	0.3%
42	17	0.4%

total_day_minutes
Real number (ℝ)

HIGH CORRELATION

Distinct	1843
Distinct (%)	43.4%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	180.2596

Minimum	0
Maximum	351.5
Zeros	2
Zeros (%)	< 0.1%
Negative	0
Negative (%)	0.0%
Memory size	33.3 KiB

Quantile statistics

Minimum	0
5-th percentile	91.59
Q1	143.325
median	180.45
Q3	216.2
95-th percentile	271.055
Maximum	351.5
Range	351.5
Interquartile range (IQR)	72.875

Descriptive statistics

Standard deviation	54.012373
Coefficient of variation (CV)	0.2996366
Kurtosis	-0.056709716
Mean	180.2596
Median Absolute Deviation (MAD)	36.6
Skewness	-0.0069102298
Sum	766103.3
Variance	2917.3365
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
189.3	10	0.2%
180	9	0.2%
154	8	0.2%
177.1	8	0.2%
184.5	8	0.2%
209.9	7	0.2%
189.8	7	0.2%
138.7	7	0.2%
165.4	7	0.2%
174	7	0.2%
Other values (1833)	4172	98.2%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
0	2	< 0.1%
2.6	1	< 0.1%
6.6	1	< 0.1%
7.2	1	< 0.1%
7.8	1	< 0.1%
7.9	1	< 0.1%
25.9	1	< 0.1%
27	1	< 0.1%
29.9	1	< 0.1%
30.9	1	< 0.1%

Value	Count	Frequency (%)
351.5	1	< 0.1%
346.8	1	< 0.1%
345.3	1	< 0.1%
338.4	1	< 0.1%
337.4	1	< 0.1%
335.5	1	< 0.1%
334.3	1	< 0.1%
332.9	1	< 0.1%
332.1	1	< 0.1%
329.8	1	< 0.1%

total_day_calls
Real number (ℝ)

Distinct	120
Distinct (%)	2.8%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	99.907294

Minimum	0
Maximum	165
Zeros	2
Zeros (%)	< 0.1%
Negative	0
Negative (%)	0.0%
Memory size	33.3 KiB

Quantile statistics

Minimum	0
5-th percentile	67
Q1	87
median	100
Q3	113
95-th percentile	133
Maximum	165
Range	165
Interquartile range (IQR)	26

Descriptive statistics

Standard deviation	19.850817
Coefficient of variation (CV)	0.19869237
Kurtosis	0.19359365
Mean	99.907294
Median Absolute Deviation (MAD)	13
Skewness	-0.085812463
Sum	424606
Variance	394.05495
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
105	101	2.4%
95	97	2.3%
110	92	2.2%
94	92	2.2%
112	90	2.1%
102	89	2.1%
97	88	2.1%
107	87	2.0%
100	85	2.0%
101	84	2.0%
Other values (110)	3345	78.7%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
0	2	< 0.1%
30	1	< 0.1%
34	1	< 0.1%
35	1	< 0.1%
36	1	< 0.1%
40	2	< 0.1%
42	1	< 0.1%
44	4	0.1%
45	3	0.1%
46	1	< 0.1%

Value	Count	Frequency (%)
165	1	< 0.1%
160	2	< 0.1%
158	2	< 0.1%
157	2	< 0.1%
156	3	0.1%
152	2	< 0.1%
151	6	0.1%
150	3	0.1%
148	6	0.1%
147	8	0.2%

total_day_charge
Real number (ℝ)

HIGH CORRELATION

Distinct	1843
Distinct (%)	43.4%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	30.644682

Minimum	0
Maximum	59.76
Zeros	2
Zeros (%)	< 0.1%
Negative	0
Negative (%)	0.0%
Memory size	33.3 KiB

Quantile statistics

Minimum	0
5-th percentile	15.5735
Q1	24.365
median	30.68
Q3	36.75
95-th percentile	46.081
Maximum	59.76
Range	59.76
Interquartile range (IQR)	12.385

Descriptive statistics

Standard deviation	9.182096
Coefficient of variation (CV)	0.29963097
Kurtosis	-0.056584435
Mean	30.644682
Median Absolute Deviation (MAD)	6.225
Skewness	-0.0069125262
Sum	130239.9
Variance	84.310888
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
32.18	10	0.2%
30.6	9	0.2%
26.18	8	0.2%
30.11	8	0.2%
31.37	8	0.2%
35.68	7	0.2%
32.27	7	0.2%
23.58	7	0.2%
28.12	7	0.2%
29.58	7	0.2%
Other values (1833)	4172	98.2%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
0	2	< 0.1%
0.44	1	< 0.1%
1.12	1	< 0.1%
1.22	1	< 0.1%
1.33	1	< 0.1%
1.34	1	< 0.1%
4.4	1	< 0.1%
4.59	1	< 0.1%
5.08	1	< 0.1%
5.25	1	< 0.1%

Value	Count	Frequency (%)
59.76	1	< 0.1%
58.96	1	< 0.1%
58.7	1	< 0.1%
57.53	1	< 0.1%
57.36	1	< 0.1%
57.04	1	< 0.1%
56.83	1	< 0.1%
56.59	1	< 0.1%
56.46	1	< 0.1%
56.07	1	< 0.1%

total_eve_minutes
Real number (ℝ)

HIGH CORRELATION

Distinct	1773
Distinct (%)	41.7%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	200.17391

Minimum	0
Maximum	359.3
Zeros	1
Zeros (%)	< 0.1%
Negative	0
Negative (%)	0.0%
Memory size	33.3 KiB

Quantile statistics

Minimum	0
5-th percentile	118.2
Q1	165.925
median	200.7
Q3	233.775
95-th percentile	282.71
Maximum	359.3
Range	359.3
Interquartile range (IQR)	67.85

Descriptive statistics

Standard deviation	50.249518
Coefficient of variation (CV)	0.25102931
Kurtosis	0.043453202
Mean	200.17391
Median Absolute Deviation (MAD)	33.7
Skewness	-0.030414586
Sum	850739.1
Variance	2525.0141
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
230.9	10	0.2%
199.7	9	0.2%
194	9	0.2%
187.5	9	0.2%
169.9	9	0.2%
195.5	8	0.2%
221.1	8	0.2%
223.5	8	0.2%
211.5	8	0.2%
230	8	0.2%
Other values (1763)	4164	98.0%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
0	1	< 0.1%
22.3	1	< 0.1%
37.8	1	< 0.1%
41.7	1	< 0.1%
42.2	1	< 0.1%
42.5	1	< 0.1%
43.9	1	< 0.1%
47.3	1	< 0.1%
48.1	1	< 0.1%
49.2	1	< 0.1%

Value	Count	Frequency (%)
359.3	1	< 0.1%
352.1	1	< 0.1%
351.6	1	< 0.1%
349.4	1	< 0.1%
348.5	1	< 0.1%
347.3	1	< 0.1%
345.1	1	< 0.1%
344.9	1	< 0.1%
344	1	< 0.1%
341.3	1	< 0.1%

total_eve_calls
Real number (ℝ)

Distinct	123
Distinct (%)	2.9%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	100.17647

Minimum	0
Maximum	170
Zeros	1
Zeros (%)	< 0.1%
Negative	0
Negative (%)	0.0%
Memory size	33.3 KiB

Quantile statistics

Minimum	0
5-th percentile	67
Q1	87
median	100
Q3	114
95-th percentile	133
Maximum	170
Range	170
Interquartile range (IQR)	27

Descriptive statistics

Standard deviation	19.908591
Coefficient of variation (CV)	0.1987352
Kurtosis	0.11459972
Mean	100.17647
Median Absolute Deviation (MAD)	13
Skewness	-0.020811824
Sum	425750
Variance	396.352
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
105	98	2.3%
103	96	2.3%
91	95	2.2%
97	91	2.1%
108	88	2.1%
94	88	2.1%
96	88	2.1%
88	87	2.0%
101	86	2.0%
104	85	2.0%
Other values (113)	3348	78.8%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
0	1	< 0.1%
12	1	< 0.1%
36	1	< 0.1%
38	1	< 0.1%
43	1	< 0.1%
44	2	< 0.1%
45	1	< 0.1%
46	5	0.1%
47	1	< 0.1%
48	6	0.1%

Value	Count	Frequency (%)
170	1	< 0.1%
169	1	< 0.1%
168	1	< 0.1%
159	1	< 0.1%
157	1	< 0.1%
156	1	< 0.1%
155	5	0.1%
154	3	0.1%
153	1	< 0.1%
152	6	0.1%

total_eve_charge
Real number (ℝ)

HIGH CORRELATION

Distinct	1572
Distinct (%)	37.0%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	17.015012

Minimum	0
Maximum	30.54
Zeros	1
Zeros (%)	< 0.1%
Negative	0
Negative (%)	0.0%
Memory size	33.3 KiB

Quantile statistics

Minimum	0
5-th percentile	10.05
Q1	14.1025
median	17.06
Q3	19.8675
95-th percentile	24.031
Maximum	30.54
Range	30.54
Interquartile range (IQR)	5.765

Descriptive statistics

Standard deviation	4.271212
Coefficient of variation (CV)	0.2510261
Kurtosis	0.043329494
Mean	17.015012
Median Absolute Deviation (MAD)	2.86
Skewness	-0.030387891
Sum	72313.8
Variance	18.243252
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
14.25	13	0.3%
18.79	13	0.3%
16.12	13	0.3%
15.9	12	0.3%
16.97	12	0.3%
18.96	11	0.3%
17.09	10	0.2%
16.8	10	0.2%
19.63	10	0.2%
17.54	9	0.2%
Other values (1562)	4137	97.3%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
0	1	< 0.1%
1.9	1	< 0.1%
3.21	1	< 0.1%
3.54	1	< 0.1%
3.59	1	< 0.1%
3.61	1	< 0.1%
3.73	1	< 0.1%
4.02	1	< 0.1%
4.09	1	< 0.1%
4.18	1	< 0.1%

Value	Count	Frequency (%)
30.54	1	< 0.1%
29.93	1	< 0.1%
29.89	1	< 0.1%
29.7	1	< 0.1%
29.62	1	< 0.1%
29.52	1	< 0.1%
29.33	1	< 0.1%
29.32	1	< 0.1%
29.24	1	< 0.1%
29.01	1	< 0.1%

total_night_minutes
Real number (ℝ)

HIGH CORRELATION

Distinct	1757
Distinct (%)	41.3%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	200.52788

Minimum	0
Maximum	395
Zeros	1
Zeros (%)	< 0.1%
Negative	0
Negative (%)	0.0%
Memory size	33.3 KiB

Quantile statistics

Minimum	0
5-th percentile	118.09
Q1	167.225
median	200.45
Q3	234.7
95-th percentile	282.71
Maximum	395
Range	395
Interquartile range (IQR)	67.475

Descriptive statistics

Standard deviation	50.353548
Coefficient of variation (CV)	0.25110497
Kurtosis	0.11485358
Mean	200.52788
Median Absolute Deviation (MAD)	33.55
Skewness	0.0084908193
Sum	852243.5
Variance	2535.4798
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
186.2	11	0.3%
208.9	10	0.2%
240	8	0.2%
224.7	8	0.2%
190.5	8	0.2%
228.1	8	0.2%
194.3	8	0.2%
193.6	8	0.2%
221.7	8	0.2%
169.4	8	0.2%
Other values (1747)	4165	98.0%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
0	1	< 0.1%
23.2	1	< 0.1%
43.7	1	< 0.1%
45	1	< 0.1%
46.7	1	< 0.1%
47.4	1	< 0.1%
50.1	2	< 0.1%
53.3	1	< 0.1%
54	1	< 0.1%
54.5	1	< 0.1%

Value	Count	Frequency (%)
395	1	< 0.1%
381.9	1	< 0.1%
381.6	1	< 0.1%
377.5	1	< 0.1%
367.7	1	< 0.1%
364.9	1	< 0.1%
359.9	1	< 0.1%
355.1	1	< 0.1%
352.5	1	< 0.1%
352.2	1	< 0.1%

total_night_calls
Real number (ℝ)

Distinct	128
Distinct (%)	3.0%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	99.839529

Minimum	0
Maximum	175
Zeros	1
Zeros (%)	< 0.1%
Negative	0
Negative (%)	0.0%
Memory size	33.3 KiB

Quantile statistics

Minimum	0
5-th percentile	67
Q1	86
median	100
Q3	113
95-th percentile	132
Maximum	175
Range	175
Interquartile range (IQR)	27

Descriptive statistics

Standard deviation	20.09322
Coefficient of variation (CV)	0.20125515
Kurtosis	0.077218359
Mean	99.839529
Median Absolute Deviation (MAD)	14
Skewness	0.0052731102
Sum	424318
Variance	403.73748
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
105	100	2.4%
99	92	2.2%
95	91	2.1%
102	90	2.1%
94	88	2.1%
91	88	2.1%
98	87	2.0%
104	87	2.0%
100	86	2.0%
109	85	2.0%
Other values (118)	3356	79.0%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
0	1	< 0.1%
33	1	< 0.1%
36	1	< 0.1%
38	2	< 0.1%
40	1	< 0.1%
41	1	< 0.1%
42	4	0.1%
43	1	< 0.1%
44	1	< 0.1%
46	3	0.1%

Value	Count	Frequency (%)
175	1	< 0.1%
170	1	< 0.1%
165	1	< 0.1%
164	1	< 0.1%
161	1	< 0.1%
160	1	< 0.1%
159	2	< 0.1%
158	2	< 0.1%
157	2	< 0.1%
156	2	< 0.1%

total_night_charge
Real number (ℝ)

HIGH CORRELATION

Distinct	992
Distinct (%)	23.3%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	9.0238918

Minimum	0
Maximum	17.77
Zeros	1
Zeros (%)	< 0.1%
Negative	0
Negative (%)	0.0%
Memory size	33.3 KiB

Quantile statistics

Minimum	0
5-th percentile	5.3145
Q1	7.5225
median	9.02
Q3	10.56
95-th percentile	12.7255
Maximum	17.77
Range	17.77
Interquartile range (IQR)	3.0375

Descriptive statistics

Standard deviation	2.2659218
Coefficient of variation (CV)	0.2511025
Kurtosis	0.11486517
Mean	9.0238918
Median Absolute Deviation (MAD)	1.51
Skewness	0.008444754
Sum	38351.54
Variance	5.1344017
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
9.4	18	0.4%
10.8	17	0.4%
9.63	17	0.4%
8.15	17	0.4%
9.66	16	0.4%
9.76	15	0.4%
8.82	15	0.4%
10.49	15	0.4%
7.69	14	0.3%
8.57	14	0.3%
Other values (982)	4092	96.3%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
0	1	< 0.1%
1.04	1	< 0.1%
1.97	1	< 0.1%
2.03	1	< 0.1%
2.1	1	< 0.1%
2.13	1	< 0.1%
2.25	2	< 0.1%
2.4	1	< 0.1%
2.43	1	< 0.1%
2.45	1	< 0.1%

Value	Count	Frequency (%)
17.77	1	< 0.1%
17.19	1	< 0.1%
17.17	1	< 0.1%
16.99	1	< 0.1%
16.55	1	< 0.1%
16.42	1	< 0.1%
16.2	1	< 0.1%
15.98	1	< 0.1%
15.86	1	< 0.1%
15.85	1	< 0.1%

total_intl_minutes
Real number (ℝ)

HIGH CORRELATION

Distinct	168
Distinct (%)	4.0%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	10.256071

Minimum	0
Maximum	20
Zeros	22
Zeros (%)	0.5%
Negative	0
Negative (%)	0.0%
Memory size	33.3 KiB

Quantile statistics

Minimum	0
5-th percentile	5.7
Q1	8.5
median	10.3
Q3	12
95-th percentile	14.6
Maximum	20
Range	20
Interquartile range (IQR)	3.5

Descriptive statistics

Standard deviation	2.7601017
Coefficient of variation (CV)	0.26911883
Kurtosis	0.70295119
Mean	10.256071
Median Absolute Deviation (MAD)	1.8
Skewness	-0.24135954
Sum	43588.3
Variance	7.6181615
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
11.1	75	1.8%
9.8	73	1.7%
11.4	73	1.7%
10.2	72	1.7%
10.9	71	1.7%
11.3	70	1.6%
10.1	69	1.6%
9.7	68	1.6%
10.5	66	1.6%
9.5	66	1.6%
Other values (158)	3547	83.5%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
0	22	0.5%
0.4	1	< 0.1%
1.1	2	< 0.1%
1.3	1	< 0.1%
2	2	< 0.1%
2.1	2	< 0.1%
2.2	2	< 0.1%
2.4	1	< 0.1%
2.5	1	< 0.1%
2.6	1	< 0.1%

Value	Count	Frequency (%)
20	1	< 0.1%
19.7	2	< 0.1%
19.3	1	< 0.1%
19.2	1	< 0.1%
18.9	1	< 0.1%
18.5	1	< 0.1%
18.4	1	< 0.1%
18.3	1	< 0.1%
18.2	2	< 0.1%
18	3	0.1%

total_intl_calls
Real number (ℝ)

Distinct	21
Distinct (%)	0.5%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	4.4263529

Minimum	0
Maximum	20
Zeros	22
Zeros (%)	0.5%
Negative	0
Negative (%)	0.0%
Memory size	33.3 KiB

Quantile statistics

Minimum	0
5-th percentile	1
Q1	3
median	4
Q3	6
95-th percentile	9
Maximum	20
Range	20
Interquartile range (IQR)	3

Descriptive statistics

Standard deviation	2.4630691
Coefficient of variation (CV)	0.55645565
Kurtosis	3.2632275
Mean	4.4263529
Median Absolute Deviation (MAD)	1
Skewness	1.3601222
Sum	18812
Variance	6.0667095
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=21)

Value	Count	Frequency (%)
3	847	19.9%
4	795	18.7%
2	644	15.2%
5	598	14.1%
6	408	9.6%
7	272	6.4%
1	226	5.3%
8	153	3.6%
9	126	3.0%
10	59	1.4%
Other values (11)	122	2.9%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
0	22	0.5%
1	226	5.3%
2	644	15.2%
3	847	19.9%
4	795	18.7%
5	598	14.1%
6	408	9.6%
7	272	6.4%
8	153	3.6%
9	126	3.0%

Value	Count	Frequency (%)
20	1	< 0.1%
19	1	< 0.1%
18	4	0.1%
17	1	< 0.1%
16	7	0.2%
15	9	0.2%
14	5	0.1%
13	16	0.4%
12	18	0.4%
11	38	0.9%

total_intl_charge
Real number (ℝ)

HIGH CORRELATION

Distinct	168
Distinct (%)	4.0%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	2.7696541

Minimum	0
Maximum	5.4
Zeros	22
Zeros (%)	0.5%
Negative	0
Negative (%)	0.0%
Memory size	33.3 KiB

Quantile statistics

Minimum	0
5-th percentile	1.54
Q1	2.3
median	2.78
Q3	3.24
95-th percentile	3.94
Maximum	5.4
Range	5.4
Interquartile range (IQR)	0.94

Descriptive statistics

Standard deviation	0.74520414
Coefficient of variation (CV)	0.26906036
Kurtosis	0.70332127
Mean	2.7696541
Median Absolute Deviation (MAD)	0.48
Skewness	-0.24167067
Sum	11771.03
Variance	0.5553292
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
3	75	1.8%
2.65	73	1.7%
3.08	73	1.7%
2.75	72	1.7%
2.94	71	1.7%
3.05	70	1.6%
2.73	69	1.6%
2.62	68	1.6%
2.84	66	1.6%
2.57	66	1.6%
Other values (158)	3547	83.5%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
0	22	0.5%
0.11	1	< 0.1%
0.3	2	< 0.1%
0.35	1	< 0.1%
0.54	2	< 0.1%
0.57	2	< 0.1%
0.59	2	< 0.1%
0.65	1	< 0.1%
0.68	1	< 0.1%
0.7	1	< 0.1%

Value	Count	Frequency (%)
5.4	1	< 0.1%
5.32	2	< 0.1%
5.21	1	< 0.1%
5.18	1	< 0.1%
5.1	1	< 0.1%
5	1	< 0.1%
4.97	1	< 0.1%
4.94	1	< 0.1%
4.91	2	< 0.1%
4.86	3	0.1%

number_customer_service_calls
Real number (ℝ)

ZEROS

Distinct	10
Distinct (%)	0.2%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	1.5590588

Minimum	0
Maximum	9
Zeros	886
Zeros (%)	20.8%
Negative	0
Negative (%)	0.0%
Memory size	33.3 KiB

Quantile statistics

Minimum	0
5-th percentile	0
Q1	1
median	1
Q3	2
95-th percentile	4
Maximum	9
Range	9
Interquartile range (IQR)	1

Descriptive statistics

Standard deviation	1.3114335
Coefficient of variation (CV)	0.84117001
Kurtosis	1.6556188
Mean	1.5590588
Median Absolute Deviation (MAD)	1
Skewness	1.0826916
Sum	6626
Variance	1.7198579
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
1	1524	35.9%
2	947	22.3%
0	886	20.8%
3	558	13.1%
4	209	4.9%
5	81	1.9%
6	28	0.7%
7	13	0.3%
9	2	< 0.1%
8	2	< 0.1%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
0	886	20.8%
1	1524	35.9%
2	947	22.3%
3	558	13.1%
4	209	4.9%
5	81	1.9%
6	28	0.7%
7	13	0.3%
8	2	< 0.1%
9	2	< 0.1%

Value	Count	Frequency (%)
9	2	< 0.1%
8	2	< 0.1%
7	13	0.3%
6	28	0.7%
5	81	1.9%
4	209	4.9%
3	558	13.1%
2	947	22.3%
1	1524	35.9%
0	886	20.8%

churn
Categorical

Distinct	2
Distinct (%)	< 0.1%
Missing	0
Missing (%)	0.0%
Memory size	33.3 KiB

0	3652
1	598

Length

Max length	1
Median length	1
Mean length	1
Min length	1

Characters and Unicode

Total characters	4250
Distinct characters	2
Distinct categories	1 ?
Distinct scripts	1 ?
Distinct blocks	1 ?

The Unicode Standard assigns character properties to each code point, which can be used to analyse textual variables.

Unique

Unique	0 ?
Unique (%)	0.0%

Sample

1st row	0
2nd row	0
3rd row	0
4th row	0
5th row	0

Common Values

Value	Count	Frequency (%)
0	3652	85.9%
1	598	14.1%

Length

Histogram of lengths of the category

Common Values (Plot)

Value	Count	Frequency (%)
0	3652	85.9%
1	598	14.1%

Most occurring characters

Value	Count	Frequency (%)
0	3652	85.9%
1	598	14.1%

Most occurring categories

Value	Count	Frequency (%)
(unknown)	4250	100.0%

Most frequent character per category

(unknown)

Value	Count	Frequency (%)
0	3652	85.9%
1	598	14.1%

Most occurring scripts

Value	Count	Frequency (%)
(unknown)	4250	100.0%

Most frequent character per script

(unknown)

Value	Count	Frequency (%)
0	3652	85.9%
1	598	14.1%

Most occurring blocks

Value	Count	Frequency (%)
(unknown)	4250	100.0%

Most frequent character per block

(unknown)

Value	Count	Frequency (%)
0	3652	85.9%
1	598	14.1%

Auto

Heatmap
Table

	account_length	churn	international_plan	number_customer_service_calls	number_vmail_messages	total_day_calls	total_day_charge	total_day_minutes	total_eve_calls	total_eve_charge	total_eve_minutes	total_intl_calls	total_intl_charge	total_intl_minutes	total_night_calls	total_night_charge	total_night_minutes	voice_mail_plan
account_length	1.000	0.000	0.000	-0.007	-0.003	0.019	0.000	0.000	0.005	-0.014	-0.014	0.019	0.012	0.012	-0.001	-0.007	-0.007	0.000
churn	0.000	1.000	0.257	0.152	-0.108	0.014	0.177	0.177	-0.009	0.075	0.075	-0.053	0.048	0.048	-0.013	0.047	0.047	0.113
international_plan	0.000	0.257	1.000	-0.016	0.003	0.012	0.035	0.035	-0.004	0.018	0.018	0.003	0.021	0.021	0.006	-0.024	-0.024	0.000
number_customer_service_calls	-0.007	0.152	-0.016	1.000	-0.024	-0.021	-0.007	-0.007	0.010	-0.014	-0.014	-0.007	-0.018	-0.018	-0.001	-0.023	-0.023	0.038
number_vmail_messages	-0.003	-0.108	0.003	-0.024	1.000	-0.011	0.007	0.007	0.004	0.015	0.015	-0.005	0.002	0.002	0.006	0.011	0.011	0.998
total_day_calls	0.019	0.014	0.012	-0.021	-0.011	1.000	0.003	0.003	0.010	0.009	0.009	0.008	0.006	0.006	0.003	0.002	0.002	0.000
total_day_charge	0.000	0.177	0.035	-0.007	0.007	0.003	1.000	1.000	0.005	-0.015	-0.015	-0.000	-0.024	-0.024	-0.004	0.002	0.002	0.036
total_day_minutes	0.000	0.177	0.035	-0.007	0.007	0.003	1.000	1.000	0.005	-0.015	-0.015	-0.000	-0.024	-0.024	-0.004	0.002	0.002	0.036
total_eve_calls	0.005	-0.009	-0.004	0.010	0.004	0.010	0.005	0.005	1.000	0.001	0.001	-0.001	-0.022	-0.022	-0.016	0.012	0.012	0.000
total_eve_charge	-0.014	0.075	0.018	-0.014	0.015	0.009	-0.015	-0.015	0.001	1.000	1.000	0.015	0.006	0.006	0.013	-0.019	-0.019	0.017
total_eve_minutes	-0.014	0.075	0.018	-0.014	0.015	0.009	-0.015	-0.015	0.001	1.000	1.000	0.015	0.006	0.006	0.013	-0.019	-0.019	0.019
total_intl_calls	0.019	-0.053	0.003	-0.007	-0.005	0.008	-0.000	-0.000	-0.001	0.015	0.015	1.000	0.007	0.007	0.004	-0.020	-0.020	0.000
total_intl_charge	0.012	0.048	0.021	-0.018	0.002	0.006	-0.024	-0.024	-0.022	0.006	0.006	0.007	1.000	1.000	0.006	-0.002	-0.002	0.000
total_intl_minutes	0.012	0.048	0.021	-0.018	0.002	0.006	-0.024	-0.024	-0.022	0.006	0.006	0.007	1.000	1.000	0.006	-0.002	-0.002	0.000
total_night_calls	-0.001	-0.013	0.006	-0.001	0.006	0.003	-0.004	-0.004	-0.016	0.013	0.013	0.004	0.006	0.006	1.000	0.011	0.011	0.000
total_night_charge	-0.007	0.047	-0.024	-0.023	0.011	0.002	0.002	0.002	0.012	-0.019	-0.019	-0.020	-0.002	-0.002	0.011	1.000	1.000	0.031
total_night_minutes	-0.007	0.047	-0.024	-0.023	0.011	0.002	0.002	0.002	0.012	-0.019	-0.019	-0.020	-0.002	-0.002	0.011	1.000	1.000	0.031
voice_mail_plan	0.000	0.113	0.000	0.038	0.998	0.000	0.036	0.036	0.000	0.017	0.019	0.000	0.000	0.000	0.000	0.031	0.031	1.000

Count
Matrix

A simple visualization of nullity by column.

Nullity matrix is a data-dense display which lets you quickly visually pick out patterns in data completion.

First rows
Last rows

	account_length	international_plan	voice_mail_plan	number_vmail_messages	total_day_minutes	total_day_calls	total_day_charge	total_eve_minutes	total_eve_calls	total_eve_charge	total_night_minutes	total_night_calls	total_night_charge	total_intl_minutes	total_intl_calls	total_intl_charge	number_customer_service_calls	churn
0	107	0	1	26	161.6	123	27.47	195.5	103	16.62	254.4	103	11.45	13.7	3	3.70	1	0
1	137	0	0	0	243.4	114	41.38	121.2	110	10.30	162.6	104	7.32	12.2	5	3.29	0	0
2	84	1	0	0	299.4	71	50.90	61.9	88	5.26	196.9	89	8.86	6.6	7	1.78	2	0
3	75	1	0	0	166.7	113	28.34	148.3	122	12.61	186.9	121	8.41	10.1	3	2.73	3	0
4	121	0	1	24	218.2	88	37.09	348.5	108	29.62	212.6	118	9.57	7.5	7	2.03	3	0
5	147	1	0	0	157.0	79	26.69	103.1	94	8.76	211.8	96	9.53	7.1	6	1.92	0	0
6	117	0	0	0	184.5	97	31.37	351.6	80	29.89	215.8	90	9.71	8.7	4	2.35	1	0
7	141	1	1	37	258.6	84	43.96	222.0	111	18.87	326.4	97	14.69	11.2	5	3.02	0	0
8	65	0	0	0	129.1	137	21.95	228.5	83	19.42	208.8	111	9.40	12.7	6	3.43	4	1
9	74	0	0	0	187.7	127	31.91	163.4	148	13.89	196.0	94	8.82	9.1	5	2.46	0	0

	account_length	voice_mail_plan	number_vmail_messages	total_day_minutes	total_day_calls	total_day_charge	total_eve_minutes	total_eve_calls	total_eve_charge	total_night_minutes	total_night_calls	total_night_charge	total_intl_minutes	total_intl_calls	total_intl_charge	number_customer_service_calls	churn
4240	127	1	27	157.6	107	26.79	280.6	49	23.85	75.1	77	3.38	8.0	4	2.16	1	0
4241	80	0	0	157.0	101	26.69	208.8	127	17.75	113.3	109	5.10	16.2	2	4.37	2	0
4242	150	0	0	170.0	115	28.90	162.7	138	13.83	267.2	77	12.02	8.3	2	2.24	0	0
4243	140	0	0	244.7	115	41.60	258.6	101	21.98	231.3	112	10.41	7.5	6	2.03	1	1
4244	97	0	0	252.6	89	42.94	340.3	91	28.93	256.5	67	11.54	8.8	5	2.38	1	1
4245	83	0	0	188.3	70	32.01	243.8	88	20.72	213.7	79	9.62	10.3	6	2.78	0	0
4246	73	0	0	177.9	89	30.24	131.2	82	11.15	186.2	89	8.38	11.5	6	3.11	3	0
4247	75	0	0	170.7	101	29.02	193.1	126	16.41	129.1	104	5.81	6.9	7	1.86	1	0
4248	50	1	40	235.7	127	40.07	223.0	126	18.96	297.5	116	13.39	9.9	5	2.67	2	0
4249	86	1	34	129.4	102	22.00	267.1	104	22.70	154.8	100	6.97	9.3	16	2.51	0	0

Overview

Variables

Common Values

Length

Common Values (Plot)

Most occurring characters

Most occurring categories

Most frequent character per category

(unknown)

Most occurring scripts

Most frequent character per script

(unknown)

Most occurring blocks

Most frequent character per block

(unknown)

Common Values

Length

Common Values (Plot)

Most occurring characters

Most occurring categories

Most frequent character per category

(unknown)

Most occurring scripts

Most frequent character per script

(unknown)

Most occurring blocks

Most frequent character per block

(unknown)

Common Values

Length

Common Values (Plot)

Most occurring characters

Most occurring categories

Most frequent character per category

(unknown)

Most occurring scripts

Most frequent character per script

(unknown)

Most occurring blocks

Most frequent character per block

(unknown)

Interactions

Correlations

Missing values

Sample